As you won't be employed in New Zealand you won't receive compulsory employer contributions.

Permanently leaving New Zealand

If you permanently emigrate to countries other than Australia, after one year you can apply to withdraw your savings and close your KiwiSaver account. The member tax credit you've received since joining will be returned to the Government. You keep any interest earned on the tax credits.

If you permanently emigrate to Australia you can either leave your savings in a New Zealand KiwiSaver account or transfer to an Australian complying superannuation scheme.